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Graphs With Stability Index One
Published online by Cambridge University Press: 09 April 2009
Abstract
We consider the effect on the stability properties of a graph G, of the presence in the automorphism group of G of automorphisms (uv)h, where u and v are vertices of G, and h is a permutation of vertices of G excluding u and v. We find sufficient conditions for an arbitrary graph and a cartesian product to have stability index one, and conjecture in the latter case that they are necessary. Finally we exhibit explicitly a large class of graphs which have stability index one.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 22 , Issue 2 , September 1976 , pp. 212 - 220
- Copyright
- Copyright © Australian Mathematical Society 1976
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